Solving Ordinary Differential Equations I: Nonstiff Problems: 8 - Brossura

Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard

 
9783642081583: Solving Ordinary Differential Equations I: Nonstiff Problems: 8
Brossura
ISBN 10: 3642081584 ISBN 13: 9783642081583
Casa editrice: Springer, 2010

Sinossi

The book deals with methods for solving ordinary nonstiff differential equations. This new edition contains in particular the following new material: Hamiltonian systems and symplectic Runge-Kutta methods, dense output for Runge-Kutta and extrapolation methods, a new Dormand & Prince method of order 8 with dense output, parallel Runge-Kutta methods, numerical tests for first- and second order systems. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him learn to solve all kinds of ordinary differential equations. This book will be immensely useful to graduate students and researchers in numerical analysis and scientific computing, and to scientists in the fields mentioned above.

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Recensione

From the reviews

"This is the revised version of the first edition of Vol. I published in 1987. ....Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically." Zeitschrift für Angewandte Mathematik und Physik

"... This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planning..." Optimization

"... This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial." Mathematics and Computers

Contenuti

Classical Mathematical Theory.- Runge-Kutta and Extrapolation Methods.- Multistep Methods and General Linear Methods.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
3642081584
ISBN 13 
9783642081583
Rilegatura
Copertina flessibile
Numero di pagine
544
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

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Hamburg
Germania

Altre edizioni note dello stesso titolo

9783642051630: Solving Ordinary Differential Equations I: Nonstiff Problems: 8

Edizione in evidenza

ISBN 10:  3642051634 ISBN 13:  9783642051630
Casa editrice: Springer, 2009
Brossura